# How do you find the equation of the perpendicular bisector?

## How do you find the equation of the perpendicular bisector?

⇒m1×m2=−1, where m2 is the slope of the perpendicular bisector. Perpendicular bisector will pass through the points A and B i.e. point M. In this case, the perpendicular bisector is eventually a line passing through point M(5,3) and having slope m2=1. Thus the equation of the perpendicular bisector is x−y−2=0.

## What slope is perpendicular to m =- 3?

Using the slope-intercept form, the slope is Undefined.

What is the perpendicular slope of 4?

Solution: The given line has slope m = -4. Therefore the perpendicular line’s slope is (1/4), because that is the negative reciprocal of -4.

How do you know if two slopes are perpendicular?

Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other.

### What is the slope of a perpendicular line?

Perpendicular lines have slopes that are negative reciprocals of one another. The given line’s slope is 5, which means that the slope of the other line must be its negative reciprocal.

### What is the slope of a line perpendicular to 3 2?

-2/3
So the slope of the perpendicular line is the reciprocal of 3/2 which is multiplied by -1. Therefore, the slope of a line that is perpendicular to the line whose equation is 2y = 3x – 1 is -2/3.

What is the perpendicular slope of M?

-1 / m
This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m.

What is the perpendicular slope of?

negative reciprocals
The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m.

#### How do you tell if an equation is perpendicular or parallel?

If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. Their intersection forms a right, or 90-degree, angle.